Chapter 5, Problem 5RAT

Your friend says that the impulse equals momentum. You disagree and say the friend is missing an important word, which is

$\left(\text{a}\right)$ inertia.

$\left(\text{b}\right)$ acceleration.

$\left(\text{c}\right)$ time.

$\left(\text{d}\right)$ change.

To determine

The correct option for the statement “Your friend says that the impulse equals momentum. You disagree and say the friend is missing an important word, which is”.

Answer to Problem 5RAT

The correct option for the statement “Your friend says that the impulse equals momentum. You disagree and say the friend is missing an important word, which is” is option (d).

Explanation of Solution

The impulse is the product of the force on the object and the time for which the force acts. As the force is the product of two physical quantities, mass and acceleration. The acceleration is the change in the speed with time, so the overall product of force and time also become as the change in momentum.

So, the impulse is same as the change in the momentum, hence the friend misses the word change in the statement.

The impulse cannot be equal to the inertia, time and acceleration because these quantities are irrelevant for the statement.

Conclusion:

Therefore, the correct option for the statement “Your friend says that the impulse equals momentum. You disagree and say the friend is missing an important word, which is” is option (d).